The formula for the area of a circle is
A=πr²
plug in the data we know
A=π4²
A=16π
Since we only we need to find the area of the shaded section, we need to twerk this equation a bit. (remember that the shaded section is 84/360 of the original circle.)
A=84/360*16π
A=11.728
A=11.73 units²
answer: <span>A=11.73 units²</span>
Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call
the american population,
the British population before the migration, and
the population that migrated from America to Britannia.
Now, the population
that migrated was 20% of the american population:
,
and the same population
increase the British population by 4%:

Combining equation (1) and (2) we get:



Thus, the American population was 20% of the British population.
Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°